Complements of Higher Mathematics

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Publisher : Springer
ISBN 13 : 3319746847
Total Pages : 353 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Complements of Higher Mathematics by : Marin Marin

Download or read book Complements of Higher Mathematics written by Marin Marin and published by Springer. This book was released on 2018-02-13 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.

Higher Mathematics

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Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Higher Mathematics by : Mansfield Merriman

Download or read book Higher Mathematics written by Mansfield Merriman and published by . This book was released on 1898 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Bridge to Higher Mathematics

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Publisher : CRC Press
ISBN 13 : 1498775276
Total Pages : 194 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A Bridge to Higher Mathematics by : Valentin Deaconu

Download or read book A Bridge to Higher Mathematics written by Valentin Deaconu and published by CRC Press. This book was released on 2016-12-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.

Bridge to Higher Mathematics

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Publisher : Lulu.com
ISBN 13 : 055750337X
Total Pages : 258 pages
Book Rating : 4.5/5 (575 download)

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Book Synopsis Bridge to Higher Mathematics by : Sam Vandervelde

Download or read book Bridge to Higher Mathematics written by Sam Vandervelde and published by Lulu.com. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.

Partial Differential Equations in Action

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Publisher : Springer
ISBN 13 : 3319154168
Total Pages : 431 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Partial Differential Equations in Action by : Sandro Salsa

Download or read book Partial Differential Equations in Action written by Sandro Salsa and published by Springer. This book was released on 2015-05-30 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.

A Course of Higher Mathematics

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Publisher : Elsevier
ISBN 13 : 1483139379
Total Pages : 652 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis A Course of Higher Mathematics by : V. I. Smirnov

Download or read book A Course of Higher Mathematics written by V. I. Smirnov and published by Elsevier. This book was released on 2014-07-10 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly’s theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions.

Higher Mathematics for Students of Chemistry and Physics

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Publisher : Forgotten Books
ISBN 13 : 9781528066266
Total Pages : 660 pages
Book Rating : 4.0/5 (662 download)

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Book Synopsis Higher Mathematics for Students of Chemistry and Physics by : J. W. Mellor

Download or read book Higher Mathematics for Students of Chemistry and Physics written by J. W. Mellor and published by Forgotten Books. This book was released on 2017-09-16 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Higher Mathematics for Students of Chemistry and Physics: With Special Reference to Practical Work IT is almost impossible to follow the later developments of physical or general chemistry without a working knowledge of higher mathematics. I have found that the regular text-books of mathematics rather perplex than assist the chemical student who seeks a short road to this knowledge, for it is not easy to discover the relation which the pure abstractions of formal mathematics bear to the problems which every day confront the student of Nature's laws, and realize-the complementary character of mathematical and physical processes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Schur Complement and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242732
Total Pages : 308 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Schur Complement and Its Applications by : Fuzhen Zhang

Download or read book The Schur Complement and Its Applications written by Fuzhen Zhang and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.

Contests in Higher Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207339
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Contests in Higher Mathematics by : Gabor J. Szekely

Download or read book Contests in Higher Mathematics written by Gabor J. Szekely and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.

Transition to Higher Mathematics

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Publisher : McGraw-Hill Education
ISBN 13 : 9780071106474
Total Pages : 0 pages
Book Rating : 4.1/5 (64 download)

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Book Synopsis Transition to Higher Mathematics by : Bob A. Dumas

Download or read book Transition to Higher Mathematics written by Bob A. Dumas and published by McGraw-Hill Education. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students who have taken calculus and want to learn what "real mathematics" is.

A Discrete Transition to Advanced Mathematics

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Publisher : American Mathematical Society
ISBN 13 : 147047204X
Total Pages : 540 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Discrete Transition to Advanced Mathematics by : Bettina Richmond

Download or read book A Discrete Transition to Advanced Mathematics written by Bettina Richmond and published by American Mathematical Society. This book was released on 2023-08-25 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity. Beginning with an introduction to sets and logic, the book goes on to establish the basics of proof techniques. From here, chapters explore proofs in the context of number theory, combinatorics, functions and cardinality, and graph theory. A selection of extension topics concludes the book, including continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio. A Discrete Transition to Advanced Mathematics is suitable for an introduction to proof course or a course in discrete mathematics. Abundant examples and exercises invite readers to get involved, and the wealth of topics allows for course customization and further reading. This new edition has been expanded and modernized throughout. New features include a chapter on combinatorial geometry, a more in-depth treatment of counting, and over 365 new exercises.

Maths in Action - Higher Mathematics Preparation for Assessment

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Publisher : Nelson Thornes
ISBN 13 : 9780174315407
Total Pages : 156 pages
Book Rating : 4.3/5 (154 download)

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Book Synopsis Maths in Action - Higher Mathematics Preparation for Assessment by : Edward C. K. Mullan

Download or read book Maths in Action - Higher Mathematics Preparation for Assessment written by Edward C. K. Mullan and published by Nelson Thornes. This book was released on 2014-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book provides additional practice exercises matched precisely to the performance criteria for all four units of Higher Mathematics. It prepares students for internal Unit Tests and external Course Assessments in Mathematics and Statistics.

Elements of Advanced Mathematics

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Publisher : CRC Press
ISBN 13 : 1439898359
Total Pages : 367 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Elements of Advanced Mathematics by : Steven G. Krantz

Download or read book Elements of Advanced Mathematics written by Steven G. Krantz and published by CRC Press. This book was released on 2012-03-19 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

The Elements of Advanced Mathematics

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Publisher : CRC Press
ISBN 13 : 1351378317
Total Pages : 390 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis The Elements of Advanced Mathematics by : Steven G. Krantz

Download or read book The Elements of Advanced Mathematics written by Steven G. Krantz and published by CRC Press. This book was released on 2017-11-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements. The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics. Presents a concise presentation of the material Covers logic, sets and moves to more advanced topics including topology Provides greater coverage of number theory and cryptography Streamlined to focus on the core of this course

Foundations of Higher Mathematics

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Publisher : Addison Wesley
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Foundations of Higher Mathematics by : Daniel M. Fendel

Download or read book Foundations of Higher Mathematics written by Daniel M. Fendel and published by Addison Wesley. This book was released on 1990 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Higher Mathematics: Exploration and Proof is the ideal text to bridge the crucial gap between the standard calculus sequence and upper division mathematics courses. The book takes a fresh approach to the subject: it asks students to explore mathematical principles on their own and challenges them to think like mathematicians. Two unique features-an exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculus-distinguish the book from the competition. Both features enable students to own the mathematics they're working on. As a result, your students develop a stronger motivation to tackle upper-level courses and gain a deeper understanding of concepts presented.

The Elements of Advanced Mathematics, Second Edition

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Publisher : CRC Press
ISBN 13 : 9781584883036
Total Pages : 240 pages
Book Rating : 4.8/5 (83 download)

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Book Synopsis The Elements of Advanced Mathematics, Second Edition by : Steven G. Krantz

Download or read book The Elements of Advanced Mathematics, Second Edition written by Steven G. Krantz and published by CRC Press. This book was released on 2002-01-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The gap between the rote, calculational learning mode of calculus and ordinary differential equations and the more theoretical learning mode of analysis and abstract algebra grows ever wider and more distinct, and students' need for a well-guided transition grows with it. For more than six years, the bestselling first edition of this classic text has helped them cross the mathematical bridge to more advanced studies in topics such as topology, abstract algebra, and real analysis. Carefully revised, expanded, and brought thoroughly up to date, the Elements of Advanced Mathematics, Second Edition now does the job even better, building the background, tools, and skills students need to meet the challenges of mathematical rigor, axiomatics, and proofs. New in the Second Edition: Expanded explanations of propositional, predicate, and first-order logic, especially valuable in theoretical computer science A chapter that explores the deeper properties of the real numbers, including topological issues and the Cantor set Fuller treatment of proof techniques with expanded discussions on induction, counting arguments, enumeration, and dissection Streamlined treatment of non-Euclidean geometry Discussions on partial orderings, total ordering, and well orderings that fit naturally into the context of relations More thorough treatment of the Axiom of Choice and its equivalents Additional material on Russell's paradox and related ideas Expanded treatment of group theory that helps students grasp the axiomatic method A wealth of added exercises

Year 10 Advanced Mathematics

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Publisher : Pascal Press
ISBN 13 : 9781741251265
Total Pages : 182 pages
Book Rating : 4.2/5 (512 download)

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Book Synopsis Year 10 Advanced Mathematics by : Lyn Baker

Download or read book Year 10 Advanced Mathematics written by Lyn Baker and published by Pascal Press. This book was released on 2006 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Revises the NSW Year 10 Stage 5.3 Mathematics course"--Cover.